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23 December, 18:21

You need to cover the playground of a child development center with mulch. the playground is 125 feet long and 60 feet wide. you want the mulch to be at least 6 inches deep. how many cubic yards of mulch should you have delivered? round your answer to the nearest whole number.

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  1. 23 December, 18:46
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    The answer is 139 cubic yards

    This mulch will be of cylindrical shape.

    The volume (V) of a cylinder is:

    V = l · w · h (l - length, w - width, h - height (in our example, height = depth)

    It is known:

    l = 125 feet

    w = 60 feet

    h = 6 inches = 0.5 feet

    V = l · w · h = 125 · 60 · 0.5 = 3750 feet³

    Since 1 cubic foot is 0.037 cubic yards, 3750 cubic feet are 139 cubic yards:

    0.037 · 3750 feet³ = 138.75 cubic yards ≈ 139 cubic yards
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